 92189 Ibort L.A , Landi G., Mar'inSolano , J., Marmo G.
 On the inverse problem of Lagrangian supermechanics
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Dec 1, 92

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Abstract. The inverse problem for Lagrangian supermechanics is investigated.
A set of necessary and sufficient conditions for a system of second
order differential equations in superspace to derive from (a
possibly non regular) superlagrangian function are
given. The harmonic superoscillator is revisited and a family of
even and odd alternative superlagrangians are constructed for it.
Finally, we comment on the existence of recursion operators.
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